Q: What are the prime factors of the number 300,363,504?

 A: 2, 3, 7, 893939

Why are those the prime factors of the number 300,363,504?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 300,363,504

300,363,504
Factor Arrows
2150,181,752
Factor Arrows
275,090,876
Factor Arrows
237,545,438
Factor Arrows
218,772,719
Factor Arrows
36,257,573
Factor Arrows
7893,939

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 893939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 893,939 = 300,363,504

This can also be written as 24 x 31 x 71 x 893,9391 = 300,363,504

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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